148061260800 has 396 divisors, whose sum is σ = 549786879096. Its totient is φ = 39481344000.

The previous prime is 148061260757. The next prime is 148061260811. The reversal of 148061260800 is 8062160841.

148061260800 is a `hidden beast` number, since 1 + 48 + 0 + 6 + 1 + 2 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6208900 + ... + 6232700.

Almost surely, 2^148061260800 is an apocalyptic number.

148061260800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148061260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274893439548).

148061260800 is an abundant number, since it is smaller than the sum of its proper divisors (401725618296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148061260800 is an equidigital number, since it uses as much as digits as its factorization.

148061260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 148061260800 in words is "one hundred forty-eight billion, sixty-one million, two hundred sixty thousand, eight hundred".